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Finding the Fourth Proportional to 253,713.68, 380,628.18 and 85,221.08

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Solution

The fourth proportional to 253,713.68, 380,628.18 and 85,221.08 is: 127,850.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,713.68 : 380,628.18 = 85,221.08 : x
  2. Step 2: Convert to fraction form
    253,713.68/380,628.18 = 85,221.08/x
  3. Step 3: Cross multiply
    253,713.68x = 380,628.18 × 85,221.08
  4. Step 4: Simplify right side
    253,713.68x = 32,437,544,102.25
  5. Step 5: Solve for x
    x = 32,437,544,102.25/253,713.68
  6. Step 6: Final answer
    x = 127,850.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.